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" To describe an isosceles triangle having each of the angles at the base double of the third angle. "
Elements of Plane and Solid Geometry - Page 126
by George Albert Wentworth - 1877 - 398 pages
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Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 pages
...: AK = AD (78, Cor. i.). BD is said to be cut internally in F, and externally in H. THEOREM. 88. In an isosceles triangle which has each of the angles at the base double of the angle at the vertex, a line bisecting either of the angles at the base divides the opposite side into...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
....: OA, OB, OC, OD are all equal; PROPOSITION X. PROBLEM. To describe an isosceles triangle, haeing each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, so that rect. AB, BC=sq. on AC. n. 11. With centre A and radius...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...square, as was required. Q. is. F. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, BO that rect. AB, BC = sq. on AC. II. 11. With centre A and...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD has been described, having each of the angles at the base double of the third angle. QEF PROPOSITION 11. — Problem. To inscribe an equilateral and equiangular pentagon in a given circle....
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The Bombay university calendar, Volume 1

Bombay city, univ - 1874 - 648 pages
...trianglu Uivido tho triangle into three equal parts. 9 ex 3. Describe an isosceles triangle having each of the angles ? at the base double of the third angle. 4. A rectangle ABCD and a parallelogram iBCP, wi\hm 10 the rectangle; have the same diagonal AC ; through...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...they will not be in the same straight line. SECTION V. 1. To describe an isosceles triangle, Laving each of the angles at the base double of the third angle. Inscribe in a given circle a triangle whose largest angle shall be eight times either of the other...
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Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - Mathematics - 1876 - 318 pages
...segments intersect on a circle described on OC as diameter. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. Prove that the circle drawn through the middle points of the sides of this triangle will intercept...
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The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pages
...is drawn from A to touch the circle on BC as diameter. V. To describe an isosceles triangle having each of the angles at the base double of the third angle. VI. In any right angled triangle, any rectilineal figure described upon the side subtending the right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...straight lines given in position. (Apollonius.) •t. (a) To describe an isosceles triangle, having each of the angles at the base double of the third angle. (IV 10.) (b) Construct a triangle having each of the angles at the base equal to seven times the third...
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Unterricht, Erziehung und Fortbildung. 2 Bde. [in 3pt ..., Volume 2, Part 2

H. Loehnis - 1876 - 650 pages
...proportional between two given straight lines. HIQHEB GEOMETRY. 10. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 11. If any straight line ABCD meet four fixed concurrent straight linos Oo, 0/3, Of, OS, in the points...
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